X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Funfold%2Fdelift_alt.ma;h=b9322cd1eb91571ee5b479ac9749f3695a5355a6;hb=28b55bc982671bad6514751c3a368b6cc6cbeec7;hp=9a3eb1b7c04824b7106a6430ca21af5cd4ceaed7;hpb=e8998d29ab83e7b6aa495a079193705b2f6743d3;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/unfold/delift_alt.ma b/matita/matita/contribs/lambdadelta/basic_2/unfold/delift_alt.ma
index 9a3eb1b7c..b9322cd1e 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/unfold/delift_alt.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/unfold/delift_alt.ma
@@ -38,19 +38,19 @@ interpretation "inverse basic relocation (term) alternative"
 
 (* Basic properties *********************************************************)
 
-lemma delifta_lsubs_trans: ∀L1,T1,T2,d,e. L1 ⊢ ▼▼*[d, e] T1 ≡ T2 →
-                           ∀L2. L2 ≼ [d, e] L1 → L2 ⊢ ▼▼*[d, e] T1 ≡ T2.
+lemma delifta_lsubr_trans: ∀L1,T1,T2,d,e. L1 ⊢ ▼▼*[d, e] T1 ≡ T2 →
+                           ∀L2. L2 ⊑ [d, e] L1 → L2 ⊢ ▼▼*[d, e] T1 ≡ T2.
 #L1 #T1 #T2 #d #e #H elim H -L1 -T1 -T2 -d -e // /2 width=1/
 [ #L1 #K1 #V1 #V2 #W2 #i #d #e #Hdi #Hide #HLK1 #_ #HVW2 #IHV12 #L2 #HL12
-  elim (ldrop_lsubs_ldrop2_abbr … HL12 … HLK1 ? ?) -HL12 -HLK1 // /3 width=6/
+  elim (ldrop_lsubr_ldrop2_abbr … HL12 … HLK1 ? ?) -HL12 -HLK1 // /3 width=6/
 | /4 width=1/
 | /3 width=1/
 ]
 qed.
 
 lemma delift_delifta: ∀L,T1,T2,d,e. L ⊢ ▼*[d, e] T1 ≡ T2 → L ⊢ ▼▼*[d, e] T1 ≡ T2.
-#L #T1 @(fw_ind … L T1) -L -T1 #L #T1 elim T1 -T1
-[ * #i #IH #T2 #d #e #H
+#L #T1 @(f2_ind … fw … L T1) -L -T1 #n #IH #L *
+[ * #i #Hn #T2 #d #e #H destruct
   [ >(delift_inv_sort1 … H) -H //
   | elim (delift_inv_lref1 … H) -H * /2 width=1/
     #K #V1 #V2 #Hdi #Hide #HLK #HV12 #HVT2
@@ -58,12 +58,12 @@ lemma delift_delifta: ∀L,T1,T2,d,e. L ⊢ ▼*[d, e] T1 ≡ T2 → L ⊢ ▼
     lapply (IH … HV12) // -H /2 width=6/
   | >(delift_inv_gref1 … H) -H //
   ]
-| * [ #a ] #I #V1 #T1 #_ #_ #IH #X #d #e #H
+| * [ #a ] #I #V1 #T1 #Hn #X #d #e #H
   [ elim (delift_inv_bind1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct
-    lapply (delift_lsubs_trans … HT12 (L.ⓑ{I}V1) ?) -HT12 /2 width=1/ #HT12
+    lapply (delift_lsubr_trans … HT12 (L.ⓑ{I}V1) ?) -HT12 /2 width=1/ #HT12
     lapply (IH … HV12) -HV12 // #HV12
     lapply (IH … HT12) -IH -HT12 /2 width=1/ #HT12
-    lapply (delifta_lsubs_trans … HT12 (L.ⓑ{I}V2) ?) -HT12 /2 width=1/
+    lapply (delifta_lsubr_trans … HT12 (L.ⓑ{I}V2) ?) -HT12 /2 width=1/
   | elim (delift_inv_flat1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct
     lapply (IH … HV12) -HV12 //
     lapply (IH … HT12) -IH -HT12 // /2 width=1/
@@ -75,14 +75,14 @@ qed.
 
 lemma delifta_delift: ∀L,T1,T2,d,e. L ⊢ ▼▼*[d, e] T1 ≡ T2 → L ⊢ ▼*[d, e] T1 ≡ T2.
 #L #T1 #T2 #d #e #H elim H -L -T1 -T2 -d -e // /2 width=1/ /2 width=6/
-qed-. 
+qed-.
 
 lemma delift_ind_alt: ∀R:ℕ→ℕ→lenv→relation term.
                       (∀L,d,e,k. R d e L (⋆k) (⋆k)) →
                       (∀L,d,e,i. i < d → R d e L (#i) (#i)) →
                       (∀L,K,V1,V2,W2,i,d,e. d ≤ i → i < d + e →
                        ⇩[O, i] L ≡ K.ⓓV1 → K ⊢ ▼*[O, d + e - i - 1] V1 ≡ V2 →
-                       ⇧[O, d] V2 ≡ W2 → R O (d+e-i-1) K V1 V2 → R d e L #i W2
+                       ⇧[O, d] V2 ≡ W2 → R O (d+e-i-1) K V1 V2 → R d e L (#i) W2
                       ) →
                       (∀L,d,e,i. d + e ≤ i → R d e L (#i) (#(i - e))) →
                       (∀L,d,e,p. R d e L (§p) (§p)) →